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Harness the power of mathematics in school and your future career with A MATHEMATICAL VIEW OF OUR WORLD. This liberal arts textbook helps you see the beauty and power of mathematics as it is applied to the world around you. You will recognize the connections, patterns, and significance of the mathematics you study, and see that mathematics has a meaningful place in your life. Included with your purchase is access to the CengageNOW, an online tutorial that allows you to work with real math notation in real time, with unlimited practice problems, instant analysis and feedback, and streaming video to illustrate key concepts and Personal Tutor with SMARTHINKING a live, online mathematics tutor.

Numbers in Our Lives

1

(1)

Chapter Opener: The Evolution of the Braille Reading Code

1

(58)

The Human Side of Mathematics

2

(1)

Herman Hollerith

George J. Laurer

Identification Numbers and Check Digits

3

(1)

Social Security Numbers

3

(2)

General Identification Numbers

5

(1)

Transmission Errors

6

(1)

Check Digits

6

(3)

Universal Product Codes

9

(9)

Modular Arithmetic and Check-Digit Schemes

18

(19)

The Division Algorithm

19

(2)

The Division Algorithm for Integers

21

(2)

Congruence Modulo m

23

(1)

Modular Arithmetic

24

(2)

Modular Check-Digit Schemes

26

(4)

Summary of Common Check-Digit Schemes

30

(7)

Encoding Data

37

(22)

Binary Codes

37

(3)

UPC Bar Codes

40

(4)

Manufacturer Numbers and Product Numbers in UPC Bar Codes

44

(1)

UPC Codes on Retail Items

44

(2)

Other Binary Codes

46

(10)

Chapter Review

56

(1)

Chapter Review Problems

57

(2)

Shapes in Our Lives

59

(82)

Chapter Opener: Can a Soccer Ball Glow?

59

(1)

The Human Side of Mathematics

60

(1)

Marjorie Rice

R. Buckminster Fuller

Tilings

61

(25)

Polygons and Tilings

62

(3)

Regular Polygons

65

(1)

Regular Tilings

66

(2)

Semiregular Tilings

68

(4)

Miscellaneous Tilings

72

(3)

The Pythagorean Theorem

75

(11)

Symmetry, Rigid Motions, and Escher Patterns

86

(26)

Strip Patterns and Symmetry

86

(2)

Two-Dimensional Patterns and Symmetry

88

(2)

Definitions of Rigid Motions

90

(7)

Rigid Motions and the Basic Strip Patterns

97

(2)

Escher Patterns

99

(13)

Fibonacci Numbers and the Golden Mean---Shapes in Nature

112

(29)

Fibonacci Numbers

112

(3)

Recursion

115

(2)

Fibonacci Numbers in Nature

117

(1)

Geometric Recursion

118

(2)

The Golden Ratio

120

(1)

Golden Rectangles and the Golden Ratio

121

(2)

A Final Look at Fibonacci Sequences

123

(12)

Chapter Review

135

(2)

Chapter Review Problems

137

(4)

Voting and Elections

141

(64)

Chapter Opener: Coach Decides It's Best Not to Win

141

(1)

The Human Side of Mathematics

142

(1)

Marquis de Condorcet

Kenneth J. Arrow

Voting Systems

143

(20)

Plurality Method

144

(1)

Borda Count Method

145

(1)

Plurality with Elimination Method

146

(3)

Pairwise Comparison Method

149

(3)

Tie Breaking

152

(11)

Flaws of the Voting Systems

163

(20)

The Majority Criterion

163

(2)

The Head-to-Head Criterion

165

(1)

The Monotonicity Criterion

166

(2)

The Irrelevant-Alternatives Criterion

168

(2)

Summary of the Criteria and Various Voting Methods

170

(1)

Approval Voting

171

(12)

Weighted Voting Systems

183

(22)

Weighted Voting Systems

183

(2)

Coalitions

185

(2)

Dictators, Dummies, and Voters with Veto Power

187

(1)

Critical Voters

188

(1)

The Banzhaf Power Index

189

(12)

Chapter Review

201

(1)

Chapter Review Problems

202

(3)

Fair Division

205

(80)

Chapter Opener: Legislator Wants State to Get Bigger Cut of Video Poker Profit